π± and ρ 0,± mesons in a strong magnetic field on the lattice

We calculated the correlators of pseudoscalar and vector currents in external strong abelian magnetic field in SU(3) gluodynamics. From the correlation functions, we obtain the ground state energies (masses) of neutral rho(0) meson and charged pi(+/-) and rho(+/-) mesons. The energies of the rho(0) meson with nonzero spins increase with the field value. The mass of charged pi(+/-) mesons increases with the field. We observe the agreement between Landau level picture and behavior of charged rho(+/-) mesons for moderate magnetic fields. There are no evidences in favor of charged vector meson condensation or tachyonic mode existence at large magnetic fields. The g-factor of rho(+/-) is estimated in the chiral limit.